CBSE 10th Mathematics Worksheet-Pair of Linear Equations in two variables

In this article, you can find the ten most important questions from the Chapter,"Pair of Linear Equations in two variables".

You can print or save in PDF format.It will help you to recall your Class 10 Mathematics concepts and also helps in your Final Board Exam.

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Answer the following

1. Show that the pair of equations 2x-3y=6, x + y=1. has a unique solution.

2. Show that the pair of equations 2y=4x-6, 2x=y+3, has infinite solutions.

3. If 2x-3y=7 and (a +b)x - (a+b-3)y=4a+b have infinite solution, find a, b

4. Solve algebraically the pair of equations:
    2x-y=5,
    3x+2y=11

5. Solve the following system of equations graphically and find the vertices of the triangle formed  by these lines and the x-axis :
    4x – 3y + 4 = 0,
    4x + 3y – 20 = 0.

6. Solve:

   152x -378y=-74
   -378x+152y=-604

7. Father‘s age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of the two children. Find the age of father

8. The taxi charges in a city consists of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for journey of
15 km the charge paid is Rs. 155. What are the fixed charges and the charges per km?

9. A boat goes 30 km upstream and 44 km down steam in 10 hrs. I n 13 hours it can go 40km upstream and 55 km downstream .Determine the speed of the stream and that of the boat. What value to be learnt in real life from this problem?

10. A person invested some amount @ 12% simple interest and some other amount @ 10% simple interest. He received a yearly interest of Rs. 13000. But if he had interchanged the invested amounts, he would have received Rs. 400 more as interest. How much amount did he invest at different rates? Mention any one advantage of savings for a country.

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